The dataset NBAPlayers2015 contains information on many variables for players in the NBA (National Basketball Association) during the 2014–2015 season. The dataset includes information for all players who averaged more than 24 minutes per game, and includes players and 24 variables. Distribution of Blocked Shots in the NBA The variable Blocks in the dataset NBAPlayers2015 includes information on the number of blocked shots during the season for each of the 182 players in the dataset. The following are the 30 data values randomly selected from the dataset. 34 17 8 14 30 42 10 74 36 18 7 68 29 147 21 54 50 49 20 8 12 4 84 103 21 45 153 84 142 30 Click here to access StatKey. (a) Use StatKey or other technology to find the mean and the standard deviation of the number of blocked shots. (Note: Please use the above data values for your calculation) Round your answers to one decimal place. mean = Enter your answer in accordance to item (a) of the question statement standard deviation = Enter your answer in accordance to item (a) of the question statement (b) Use StatKey or other technology to find the five number summary for the same variable. Round your answers to the nearest integer, if necessary. The five number summary is ( Enter your answer in accordance to item (b) of the question statement, Enter your answer in accordance to item (b) of the question statement, Enter your answer in accordance to item (b) of the question statement, Enter your answer in accordance to item (b) of the question statement, Enter your answer in accordance to item (b) of the question statement   (c) Which set of summary statistics, those from part (a) or part (b), is more resistant to outliers and more appropriate if the data are heavily skewed? Mean and standard deviation Five number summary   (d) Use StatKey or other technology to create a graph of the data in Blocks and describe the shape of the distribution. Approximately symmetric Skewed to the right Skewed to the left None of the above   (e) Is it appropriate to use the rule with these data? Yes No

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The dataset NBAPlayers2015 contains information on many variables for players in the NBA (National Basketball Association) during the 2014–2015 season. The dataset includes information for all players who averaged more than 24 minutes per game, and includes players and 24 variables.

Distribution of Blocked Shots in the NBA

The variable Blocks in the dataset NBAPlayers2015 includes information on the number of blocked shots during the season for each of the 182 players in the dataset.

The following are the 30 data values randomly selected from the dataset.

34 17 8 14 30
42 10 74 36 18
7 68 29 147 21
54 50 49 20 8
12 4 84 103 21
45 153 84 142 30
Click here to access StatKey.
(a) Use StatKey or other technology to find the mean and the standard deviation of the number of blocked shots. (Note: Please use the above data values for your calculation)


Round your answers to one decimal place.

mean = Enter your answer in accordance to item (a) of the question statement

standard deviation = Enter your answer in accordance to item (a) of the question statement

(b) Use StatKey or other technology to find the five number summary for the same variable.


Round your answers to the nearest integer, if necessary.

The five number summary is

( Enter your answer in accordance to item (b) of the question statement, Enter your answer in accordance to item (b) of the question statement, Enter your answer in accordance to item (b) of the question statement, Enter your answer in accordance to item (b) of the question statement, Enter your answer in accordance to item (b) of the question statement

 
(c) Which set of summary statistics, those from part (a) or part (b), is more resistant to outliers and more appropriate if the data are heavily skewed?

Mean and standard deviation
Five number summary
 
(d) Use StatKey or other technology to create a graph of the data in Blocks and describe the shape of the distribution.

Approximately symmetric
Skewed to the right
Skewed to the left
None of the above
 
(e) Is it appropriate to use the rule with these data?

Yes
No
 
 
 
 

 

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